The electric field everywhere in space is given by the expression E⃗=10.0N/Ci^+4.0zN/Ck^.E=10.0N/Ci^+4.0zN/Ck^.. How much charge is...
The electric field everywhere in space is given by the expression E⃗=10.0N/Ci^+4.0zN/Ck^.E=10.0N/Ci^+4.0zN/Ck^.. How much charge is contained in a box of side length 10.0cm, centred at the origin and aligned with the x, y and z axes?
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The electric field everywhere in space is given by the
expression E⃗=10.0N/Ci^+4.0zN/Ck^.E=10.0N/Ci^+4.0zN/Ck^.. How much
charge is...
In solving for the magnitude of the electric field E⃗(z) produced by a sheet charge with...
In solving for the magnitude of the electric field E⃗(z) produced by a sheet charge with charge density σ, use the planar symmetry since the charge distribution doesn't change if you slide it in any direction of xy plane parallel to the sheet. Therefore at each point, the electric field is perpendicular to the sheet and must have the same magnitude at any given distance on either side of the sheet. To take advantage of these symmetry properties, use a...
In a region of space there is an electric field E~ that is in the z-direction...
In a region of space there is an electric field E~ that is in the z-direction and that has magnitude E=(868N/(C?m))x. Find the flux for this field through a square in the xy-plane at z = 0 and with side length 0.330 m. One side of the square is along the +x -axis and another side is along the +y-axis. [answer is 15.6 N.m2/C] please explain and show work thanks!
(c) The electric field has been measured to be horizontal and to the right everywhere on...
(c) The electric field has been measured to be horizontal and to the right everywhere on the closed box shown in the figure. All over the left side of the box Ej = 80 V/m, and all over the right, slanting, side of the box Ez = 300 V/m. On the top the average field is Ej = 270 V/m, on the front and back the average held is E4 = 175 V/m, and on the bottom the average field...
And positive z pointing out of the page. A rectangular box sits aligned with the x, y, and z axes...
and positive z pointing out of the page. A rectangular box sits aligned with the x, y, and z axes, with one corner at the origin, and the opposite corner at < 0.5, 0.4, 0.3 > meters. (In other words, the box is 0.5 meters long in the x direction, 0.4 meters tall in the y direction, and 0.3 meters deep in the z direction). Along the left side of the box (the part on the y-z plane), the electric...
1. A particle with a charge of +4.20 nC is in a uniform electric field E⃗ directed...
1. A particle with a charge of +4.20 nC is in a uniform electric field E⃗ directed to the negative x direction. It is released from rest, and after it has moved 6.00 cm , its kinetic energy is found to be 1.50×10−6 J . a. What work was done by the electric force? b. What was the change in electric potential over the distance that the charge moved? c. What is the magnitude of E? d. What was the change...
At a given region in space, the electric field is E = 5.89 ✕ 103 N...
At a given region in space, the electric field is E = 5.89 ✕ 103 N C · m2 x2î. Note that when x is in m, E will be in N/C. Electric charges in this region are at rest. Determine the volume density of electric charge (in nC/m3) at x = 0.320 m. Suggestion: Apply Gauss's law to a box between x = 0.320 m and x = 0.320 m + dx. nC/m3
5. The electric field in a certain region of space is given by the vector field...
5. The electric field in a certain region of space is given by the vector field Vector E(Vector r)= Vector E(x,y,z)= (x-z)hatx+(z-y)haty V/m Find any two points P(x1,y1,z1) and Q(x2,y2,z2) such that the electric field at P is perpendicular to the electric field at Q. Evaluate the electric field at each of these two points. (Hint: Use the dot product.).
Question 1 (compulsory): (i) State Gauss' law for the electric field (E-field) in words and explain its meaning. Write the corresponding mathematical expression and clearly define all symbols...
Question 1 (compulsory): (i) State Gauss' law for the electric field (E-field) in words and explain its meaning. Write the corresponding mathematical expression and clearly define all symbols and operations used. Describe one application of Gauss' law. 15% (ii) A very long wire carrying electric charge with uniform line charge density is located in free space. Applying Gauss' law, derive the E-field due to this wire. Clearly explain every step of your derivation and the assumptions you take. 40% Find...
An electric flux produced by a point charge q though sphere of radius r is фо(E)....
An electric flux produced by a point charge q though sphere of radius r is фо(E). Describe how this flux would change in the following cases: a) The charge is triplet. 6. b) The volume of the sphere is doubled. c) The surface is changed to a cube with side of length / and the charge placed on the center. d) The charge is moved away from the center, but still inside the cube. e) The charge is outside the...
»Use the expression from the previous lecture for E, the electric field generated by an object...
»Use the expression from the previous lecture for E, the electric field generated by an object with charge Q at the origin, to determine an expression for V, the voltage corresponding to this electric field. (You will likely find your work in problem #38 very useful here.) Then show that, as expected,-TI. E. What is the change in voltage for a particle with charge q that moves from the point (5,2,3) to the point (3,1,0)? How much work does the...
(c) The electric field has been measured to be horizontal and to the right everywhere on the closed box shown in the figure. All over the left side of the box Ej = 80 V/m, and all over the right, slanting, side of the box Ez = 300 V/m. On the top the average field is Ej = 270 V/m, on the front and back the average held is E4 = 175 V/m, and on the bottom the average field...
and positive z pointing out of the page. A rectangular box sits aligned with the x, y, and z axes, with one corner at the origin, and the opposite corner at < 0.5, 0.4, 0.3 > meters. (In other words, the box is 0.5 meters long in the x direction, 0.4 meters tall in the y direction, and 0.3 meters deep in the z direction). Along the left side of the box (the part on the y-z plane), the electric...
5. The electric field in a certain region of space is given by the vector field Vector E(Vector r)= Vector E(x,y,z)= (x-z)hatx+(z-y)haty V/m Find any two points P(x1,y1,z1) and Q(x2,y2,z2) such that the electric field at P is perpendicular to the electric field at Q. Evaluate the electric field at each of these two points. (Hint: Use the dot product.).
Question 1 (compulsory): (i) State Gauss' law for the electric field (E-field) in words and explain its meaning. Write the corresponding mathematical expression and clearly define all symbols and operations used. Describe one application of Gauss' law. 15% (ii) A very long wire carrying electric charge with uniform line charge density is located in free space. Applying Gauss' law, derive the E-field due to this wire. Clearly explain every step of your derivation and the assumptions you take. 40% Find...
An electric flux produced by a point charge q though sphere of radius r is фо(E). Describe how this flux would change in the following cases: a) The charge is triplet. 6. b) The volume of the sphere is doubled. c) The surface is changed to a cube with side of length / and the charge placed on the center. d) The charge is moved away from the center, but still inside the cube. e) The charge is outside the...
»Use the expression from the previous lecture for E, the electric field generated by an object with charge Q at the origin, to determine an expression for V, the voltage corresponding to this electric field. (You will likely find your work in problem #38 very useful here.) Then show that, as expected,-TI. E. What is the change in voltage for a particle with charge q that moves from the point (5,2,3) to the point (3,1,0)? How much work does the...
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